In this section, we justify the validity of our theory by comparing the density of states. First, we extract the experimental density of states from the experimental measurements for the H\(_3\) S system. The lower critical field and the upper critical field within the BCS theory are given by [1]},
\(H_{C1}(T, P) = \frac{\phi _0}{4 \pi \lambda ^2(T, P)} \ln [\kappa (T, P)],\) 
